Chaotic motions for a perturbed nonlinear Schrodinger equation with the power-law nonlinearity in a nano optical fiber

摘要

Perturbed nonlinear Schrodinger (NLS) equation with the power-law nonlinearity in a nano optical fiber is studied with the help of its equivalent two-dimensional planar dynamic system and Hamiltonian. Via the bifurcation theory and qualitative theory, equilibrium points for the two-dimensional planar dynamic system are obtained. With the external perturbation taken into consideration, chaotic motions for the perturbed NLS equation with the power-law nonlinearity are derived based on the equilibrium points. (C) 2019 Elsevier Ltd. All rights reserved.